Prime p₀= 2911216137758971919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Landjunge
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2911213748806957303	0 6 24 40 54 78 90 106 168 184 196 220 234 250 268 274	-2388952014616
STPT(10)	2911214681238156257	0 2 30 32 42 44 54 56 84 86	-1456520815662
STPT(10)	2911215627546007667	0 2 54 56 72 74 90 92 144 146	-510212964252
SPT(16)	2911215827173429931	0 8 26 42 72 96 152 156 332 336 392 416 446 462 480 488	-310585541988
SPT(16)	2911215986858137919	0 48 72 78 80 120 188 212 288 312 380 420 422 428 452 500	-150900834000
STPT(10)	2911216077040699847	0 2 12 14 42 44 72 74 84 86	-60718272072
SPT(16)	2911216834322808409	0 10 34 114 132 150 168 172 180 184 202 220 238 318 342 352	696563836490
SPT(16)	2911216999707886523	0 14 54 90 120 176 206 246 278 318 348 404 434 470 510 524	861948914604
TPT(14)	2911217511066537731	0 2 78 80 126 128 210 212 240 242 258 260 288 290	1373307565812
SPT(16)	2911217540455662817	0 4 10 40 66 70 124 144 172 192 246 250 276 306 312 316	1402696690898
STPT(10)	2911217744133615359	0 2 18 20 60 62 102 104 120 122	1606374643440